" 5.(i) "cos3x

Integrate the following with respect to x. (i) cos 5x sin 3x " " (ii) cos^3 x .

Write an anti-derivative for each of the following function using method of inspection : (i) cos3x (ii) 3x^(2)+5x^(4)

Write an anti-derivative for each of the following function using method of inspection : (i) cos3x (ii) 3x^(2)+5x^(4)

(i) cos3x=cos2x (ii) cos5x=sin3x (iii) cosmx=sinnx

Find the period of the following fuctions: (i) sin2x (ii)cos3x (iii) tan2x

If (x)=(cos x+i sin x)(cos3x+i sin3x)...(cos(2n-1)x+i sin(2n-1)x) then f(x) is

If (x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)...(cos nx+i sin nx)= and f(1)=1, then f'(1) is equal to

cos2x(cos x)/(2)-cos3x(cos(9x))/(2)=sin5x(sin(5x))/(2)